Right year, but wrong state.
Because of Ohio's important role in the early automobile industry, the state was the site of numerous firsts in automobile history. Among these firsts was the first automobile accident. In 1891, James William Lambert was involved in the first automobile accident in world history. The accident occurred in Ohio City, Ohio. Lambert's vehicle -- the first single-cylinder gasoline automobile, which was carrying Lambert and James Swoveland, hit a tree root, causing the car to careen out of control and smash into a hitching post. Injuries from this accident were minor. Lambert proceeded to patent over six hundred inventions, mostly affiliated with the automobile industry.
Later there was a New York accident involving another person.
In March 1896, Charles and Frank Duryea offered for sale the first commercial automobile, the Duryea motor wagon. Two months later, New York City motorist Henry Wells hit a bicyclist with his new Duryea. The rider suffered a broken leg, Wells spent a night in jail and the nation's first traffic accident was recorded.
Charles Duryea (1861 - 1938)
Frank Duryea (1870 - 1967)